Results 11 to 20 of about 1,504 (198)
Isometric Embeddings of Pro-Euclidean Spaces
Analysis and Geometry in Metric Spaces, 2015 In [12] Petrunin proves that a compact metric space X admits an intrinsic isometry into En if and only if X is a pro-Euclidean space of rank at most n, meaning that X can be written as a “nice” inverse limit of polyhedra.
Minemyer Barry
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Isometric embeddings of polyhedra into Euclidean space [PDF]
Journal of Topology and Analysis, 2015 In this paper we consider piecewise linear (pl) isometric embeddings of Euclidean polyhedra into Euclidean space. A Euclidean polyhedron is just a metric space [Formula: see text] which admits a triangulation [Formula: see text] such that each n-dimensional simplex of [Formula: see text] is affinely isometric to a simplex in 𝔼n.
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Deformaciones isométricas infinitesimales de una clase de superficies pegadas
Revista de Matemática: Teoría y Aplicaciones, 2009 In this work the sufficient condition of rigidity of a stuck 4-dimensional surface in the Euclidean 6-dimensional space is demonstrated. This surface represents in himself, the product of Riemann of two surfaces, each one of which it is in the Euclidean ...
Olman Trejos
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Journal of Mathematics, 2021 In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product submanifold Mn of Sasakian space forms M2m+1ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via ...
Fatemah Mofarreh +3 more
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An overdetermined problem of the biharmonic operator on Riemannian manifolds
Boundary Value Problems, 2023 Let ( M , g ) $(M,g)$ be an n-dimensional complete Riemannian manifold with nonnegative Ricci curvature. In this paper, we consider an overdetermined problem of the biharmonic operator on a bounded smooth domain Ω in M.
Fan Chen, Qin Huang, Qihua Ruan
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Quaternion Kaehlerian Manifolds Isometrically Immersed in Euclidean Space [PDF]
Proceedings of the American Mathematical Society, 1983 Let M M be a complete
Barros, M., Urbano, F.
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Extensions of isometrically invariant measures on Euclidean spaces [PDF]
Proceedings of the American Mathematical Society, 1990 We consider countably additive, nonnegative, extended real-valued measures that vanish on singletons. Given a group G G of ...
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Isometric immersions of complete Riemannian manifolds into euclidean space [PDF]
Proceedings of the American Mathematical Society, 1980 Proceedings of the American Mathematical ...
Baikoussis, C., Koufogiorgos, T.
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Mathematics, 2022 In this study, a link between the squared norm of the second fundamental form and the Laplacian of the warping function for a warped product pointwise semi-slant submanifold Mn in a complex projective space is presented.
Ali H. Alkhaldi +3 more
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Locked and Unlocked Smooth Embeddings of Surfaces
Computing in Geometry and Topology, 2023 We study the continuous motion of smooth isometric embeddings of a planar surface in three-dimensional Euclidean space, and two related discrete analogues of these embeddings: polygonal embeddings and flat foldings without interior vertices, under ...
David Eppstein
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